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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2022

Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments

I Bouchoule
Jerome Dubail
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Résumé

We review the recent theoretical and experimental progress regarding the generalized hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact repulsive interactions, also known as the Lieb–Liniger gas. In the first section, we review the theory of the Lieb–Liniger gas, introducing the key notions of the rapidities and of the rapidity distribution. The latter characterizes the Lieb–Liniger gas after relaxation and is at the heart of GHD. We also present the asymptotic regimes of the Lieb–Liniger gas with their dedicated approximate descriptions. In the second section we enter the core of the subject and review the theoretical results of GHD in 1D Bose gases. The third and fourth sections are dedicated to experimental results obtained in cold atom experiments: the experimental realization of the Lieb–Liniger model is presented in section 3, with a selection of key results for systems at equilibrium, and section 4 presents the experimental tests of the GHD theory. In section 5 we review the effects of atom losses, which, assuming slow loss processes, can be described within the GHD framework. We conclude with a few open questions.

Dates et versions

hal-03547066 , version 1 (28-01-2022)

Identifiants

Citer

I Bouchoule, Jerome Dubail. Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments. Journal of Statistical Mechanics: Theory and Experiment, 2022, 2201 (1), pp.014003. ⟨10.1088/1742-5468/ac3659⟩. ⟨hal-03547066⟩
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